A long time ago (around 1974) when I was in high school, I learned a logic
game called Bagels. The board game Mastermind uses
very similar rules, but you don't need any props to play this game.
This game was developed by
D. Resek and P. Rowe of the Lawrence Hall of Science and Math in Berkeley
and is documented in the book named
Family Math.

The game is deceptively simple. If you play well though,
it can be fairly deep.